Solve frac{sqrt{2x}}{41}=29

$$\frac { \sqrt { 2 x } } { 41 } = 29$$

Solve for x

$$x = \frac{1413721}{2} = 706860\frac{1}{2} = 706860.5$$

Steps for Solving Radical Equations

Multiply both sides by 41.

$$\frac{\frac{1}{41}\sqrt{2x}}{\frac{1}{41}}=\frac{29}{\frac{1}{41}}$$

Dividing by \frac{1}{41} undoes the multiplication by \frac{1}{41}.

$$\sqrt{2x}=\frac{29}{\frac{1}{41}}$$

Divide 29 by \frac{1}{41} by multiplying 29 by the reciprocal of \frac{1}{41}.

$$\sqrt{2x}=1189$$

Square both sides of the equation.

$$2x=1413721$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{1413721}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{1413721}{2}$$